Invariants and flow geometry

• Autorzy: J. C. González-Dávila , L. Vanhecke
• Języki publikacji: EN

Abstrakty

EN

We continue the study of Riemannian manifolds (M,g) equipped with an isometric flow $ℱ_ξ$ generated by a unit Killing vector field ξ. We derive some new results for normal and contact flows and use invariants with respect to the group of ξ-preserving isometries to charaterize special (M,g,$ℱ_ξ$), in particular Einstein, η-Einstein, η-parallel and locally Killing-transversally symmetric spaces. Furthermore, we introduce curvature homogeneous flows and flow model spaces and derive an algebraic characterization of Killing-transversally symmetric spaces by using the curvature tensor of special flow model spaces. All these results extend the corresponding theory in Sasakian geometry to flow geometry.

Słowa kluczowe

EN

flow model spaces; normal, contact and curvature homogeneous flows; invariants and characterizations of special Riemannian manifolds; flows generated by a unit Killing vector field

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1999
• Tom: 81
• Numer: 1
• Strony: 33-50

Daty

wydano

1999

otrzymano

1998-12-17

Twórcy

autor

J. C. González-Dávila

• Departamento de Matemática Fundamental, Sección de Geometría y Topología, Universidad de La Laguna, La Laguna, Spain

autor

L. Vanhecke

• Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, 3001 Leuven, Belgium

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